4x(x³-3x+5)

To simplify the expression \( 4x(x^3 - 3x + 5) \), you can distribute \( 4x \) to each term inside the parentheses. Here’s how it works step by step:

1. Distribute \( 4x \) to \( x^3 \): \[ 4x \cdot x^3 = 4x^4 \]

2. Distribute \( 4x \) to \( -3x \): \[ 4x \cdot (-3x) = -12x^2 \]

3. Distribute \( 4x \) to \( 5 \): \[ 4x \cdot 5 = 20x \]

Now, combine all the distributed terms: \[ 4x(x^3 - 3x + 5) = 4x^4 - 12x^2 + 20x \]

Thus, the simplified expression is: \[ \boxed{4x^4 - 12x^2 + 20x} \]